考虑土体随机性基坑开挖扰动下既有隧道力学模型

    Analytical model for mechanical response of existing tunnel considering randomness of soil parameters under foundation pit excavation

    • 摘要: 随着城市地下空间开发的不断深入,新建基坑紧邻既有隧道的工程日益增多。开挖引发的土体应力重分布将导致既有隧道产生非均匀变形,对隧道结构安全造成威胁。针对这一问题,本文构建了考虑土体参数空间变异性的隧道力学解析模型,结合Pasternak地基理论与Mindlin解,设计了两阶段求解策略,实现了土体自由场位移及隧道附加变形响应的准确计算。进一步引入随机场理论量化土体力学参数不确定性,借助拉丁超立方抽样和乔列斯基分解构建自相关矩阵,建立了对数正态随机场生成方法,并以上海某基坑工程为例,对基坑开挖扰动下及有隧道力学响应特性展开系统分析。结果表明:隧道最大水平位移与基坑长度呈线性递增关系,与土体弹性模量呈单调递减关系,而土体不连续面则会明显加剧其变形差异性。本文将随机场理论与两阶段法结合,量化土体弹性模量空间变异性,预测的隧道变形与实测数据吻合度较高,有效捕捉基坑开挖扰动下邻近既有隧道的非均匀变形演化,为复杂地层结构安全性评估提供可靠理论支撑。

       

      Abstract: With the continuous in-depth development of urban underground space, there has been a growing number of projects where newly-built foundation pits are adjacent to existing tunnels. The soil stress redistribution caused by excavation will lead to uneven deformation of the existing tunnels, posing a threat to the structural safety of the tunnels. To address this issue, this paper establishes a tunnel mechanical analytical model that considers the spatial variability of soil parameters. Combining the Pasternak foundation theory with the Mindlin solution, a two-stage solution strategy is designed to achieve accurate calculation of soil free-field displacement and tunnel additional deformation response. Furthermore, the random field theory is introduced to quantify the uncertainty of soil mechanical parameters. By means of Latin hypercube sampling and Cholesky decomposition to construct an autocorrelation matrix, a method for generating log-normal random fields is established. Taking a foundation pit project in Shanghai as an example, a systematic analysis is conducted on the mechanical response characteristics of the tunnel under foundation pit excavation disturbance. The results show that the maximum horizontal displacement of the tunnel has a linear increasing relationship with the length of the foundation pit and a monotonic decreasing relationship with the soil elastic modulus, while soil discontinuous surfaces significantly intensify the variability of its deformation. This paper combines the random field theory with the two-stage method to quantify the spatial variability of soil elastic modulus. The predicted tunnel deformation is in high agreement with the measured data, which can effectively capture the uneven deformation evolution of adjacent existing tunnels under foundation pit excavation disturbance and provide reliable theoretical support for the safety assessment of complex stratum structures.

       

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